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I will substitute a major revision for this wikipedia page. The reasons are most content contains no citations, the language is contradictory and unclear, fundamental information is missing, some content is incorrect and the order of presentation is wrong i.e. beginning a topic by discussing an open
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Hello, I was able to track references from many publications and verify that
Parshin's preprint was ultimately published in a Russian journal. I used that reference to correct the current error in this Knowledge article in the pseudo-differential operator ring section. The revised proposal's link
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Having had a quick look on your draft, it seems to be an improvement on some aspects, such as adding many references. But it is also a disimprovement on some aspects. In particular, it removes the description of the context and most explanations. Also, the guidelines recommend to not use bulleted
454:
Thank you for your interest in improving
Knowledge. The present version requires certainly to be improved, and a new version would be welcome. However, it seems that you are a new editor and that you do not master the constraints of Knowledge editing (a witness of this is that I had to add blank
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The problems and solutions describe the reason for this revision. I am available to receive and edit suggestions for the next 2 weeks before I replace the current article with the revision. If more than 2 weeks is needed, let me know. I appreciate your feedback and experience. The revisions
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Currently, the article is very disconnected from other areas in the
Algebraic Theory of Differential Equations and the classical roots of the subject. This hurts people coming to this article from different areas looking for answers to their problems.
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This
Knowledge article fails to follow Wikpedia's guideline for mathematics to begin with simple content and gradually increase to complex content. The article begins with complex content (open Problems) and fails to introduce the fundamental
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in the differential ring section rather than graded algebra section, 2) K-algebra in the differential field section rather than a K-algebra section. 3) a closed differential field is defined in an example section rather than in the field
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This is a bad idea because it disconnects areas of mathematics that need to be connected. The pseudodifferential operators page now misleads harmonic analysts and people looking to work in the algebraic theory of differential equations.
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lines and a heading to your post for making it readable). So I am afraid that if, you write a new version fom scratch, it will not be accepted by other editors and reverted. So, if will much better to write your version in the
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As one may presume that some of your intended modifications will be welcome, and some other will be rejected by the other editors, proceeding step by step will certainly be a much more efficient method of editing.
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This
Knowledge article introduces terms and statements with incomplete definitions. An example is "For a differential rings R there is an embedding of the Weyl algebra in the ring of pseudodifferential operators
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This
Knowledge article introduces a differential ring by definition and by examples as a noncommutative ring with noncommutative elements. This contradicts the universal approach used by recognized experts.
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The revision cites reliable sources for all content other than some examples, and these examples are simple and unlikely to be challenged. The reliable sources are textbooks and peer-reviewed publications.
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The revision introduces each algebraic structure with a complete definition, describes the associated derivation, provides relevant mathematical formula, provides an internal link and cites a source.
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I really think we should be reverting this page or updating this page to something like what I drafted--I myself had come to this page to look up a formula I recorded only to find it deleted!
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This
Knowledge article has inconsistent text. For example, a derivation must always follow the Leibniz product rule by definition, and this same derivation sometimes does not follow this rule.
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Also, your style is useful for people searching references, but is not suited for non specialists who need to be introduced to the subject. In particular, it does not follow the guidelines of
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The revision begins with simple content (definitions, why is this important, history) and gradually adds increasingly more complex content (complex algebraic structures, challenging problems).
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This
Knowledge article's equations for the pseudo-differential operator and integral do not correctly reflect the contents of a prior research preprint. This content is original research.
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This
Knowledge article contains non-functioning links e.g. the Kolchin catenary conjecture and the Ritt Problem and lacks internal links where needed for mathematical terms.
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The revision has retained as much content as possible from the
Knowledge article, but I have edited and moved some content to the appropriate section. Examples include:
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lists when prose does the job well. Instead of replacing the excessive bulleted lists by prose, it seems that a part of your work consisted to replace prose by lists.
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Differential algebra and related topics: proceedings of the International Workshop, Newark Campus of Rutgers, the State University of New Jersey, 2-3 November 2000
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problem in the field. If someone feels current content should be retained, please provide an appropriate citation to a credible source with page number. Thanks
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Sit, William Y. (2002). "The Ritt-Kolchin theory for differential polynomials". In Guo, Li; Cassidy, Phyllis J; Keigher, William F; Sit, William Y (eds.).
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This Knowledge article does not place content into appropriate sections. Examples are 1) an undefined algebraic structure, possibly a differential form,
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This Knowledge article contains minimal content, lacking the universally recognized introductory content from the book chapters of recognized experts.
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The revision contains the universally recognized introductory content from book chapters of recognized experts: Kolchin, Sit and Bronstein.
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page. Another option is to verify the statements and add references. However, non-referenced statements should not be included. Thanks.
484:. In general when citations are lacking but exist in the literature, a content must not be deleted, but, instead, a citation or the tag
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and to provide a link here. This would allow other editors to discuss and improve the new version before moving it in the main space.
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included. I planned to continue this rewriting, but I had to pass to other things. This may explain some incoherences in the article.
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I agree that the article has many problems, and this is for this reason that, some time ago, I rewrote the beginning up to section
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The revision introduces a differential ring as a commutative ring with commutative derivations consistent with recognized experts.
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1085:"A natural example of a differential field is the field of rational functions in one variable over the complex numbers ..."
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This Knowledge article uses 2 formats for mathematical expressions without explanation that convey no additional value e.g.
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The revision follows a consistent format with bulleted points for text statements and indents for mathematical expressions.
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912:{\textstyle \partial \circ M=M\circ (\partial \times \operatorname {id} )+M\circ (\operatorname {id} \times \partial )}
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In view of the "This section has multiple issues" statement, I propose to remove this section and place a link to the
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The original draft was written a long time ago, and I now recognize the deficiencies in that draft. I thank you and
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Knowledge prohibits original research content. The revision uses content from textbooks and peer-reviewed journals.
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Hello, I am not user 2620:104:E001:9031:A579:E7FE:27E5:1B3D and did not generate the topic "Updating stale page."
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468:"the language is contradictory and unclear": you may fixing this, one sentence or paragraph after the other.
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page. If the author of this section wants this content in wikipedia, I suggest adding the content to the
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This Knowledge article does not follow a consistent format for introducing equations and text items.
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Another solution, probably easier it to solve one after the other the issues that you have listed:
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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This Knowledge article fails to cite sources for any content except for a single historical item.
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471:"fundamental information is missing": you may add it without rewrite the remainder of the article
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https://en.wikipedia.org/search/?title=Differential_algebra&diff=prev&oldid=1225610872
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redirects here, but it is not mentioned in the article; on the other hand there is a section
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This Knowledge article uses unexplained redundant symbols, e.g. 3 symbols for derivation
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358:= 0). Perhaps this is what this technical article on differential algebra is about ?
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Knowledge:Redirects for discussion/Log/2024 April 13 § Differential algebraic variety
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The revision uses a single consistent format for mathematical expressions.
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The revision follows Knowledge guidelines for inline format for formulas.
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1469:. I must apologize to not having read in details your very long post in
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The revision has internal functioning links for all mathematical terms.
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Knowledge guidelines recommend creating a user subpage for revisions.
474:"most content contains no citations": I have tagged the article with
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This Knowledge article does not use inline option for math content.
465:"the order of presentation is wrong": it is easy to move a section.
1406:. Readers of this page are welcome to comment on this redirect at
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I look in vain in wikipedia for an elementary explanation of the
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Thanks for your suggestions and shared interest in this subject.
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comply fully with Knowledge recommendations regarding content.
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This wikipedia article does not use italic text for emphasis.
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I propose to remove the pseudo-differential operator section.
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Problems, solutions and relevant Knowledge guidelines
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to determine whether its use and function meets the
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The revision places content in appropriate sections.
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